1964468640 has 192 divisors, whose sum is σ = 6521389056. Its totient is φ = 496100352.

The previous prime is 1964468621. The next prime is 1964468641. The reversal of 1964468640 is 468644691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1964468640.

It is not an unprimeable number, because it can be changed into a prime (1964468641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180449 + ... + 1182111.

It is an arithmetic number, because the mean of its divisors is an integer number (33965568).

Almost surely, 2^1964468640 is an apocalyptic number.

1964468640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1964468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260694528).

1964468640 is an abundant number, since it is smaller than the sum of its proper divisors (4556920416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1964468640 is a wasteful number, since it uses less digits than its factorization.

1964468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 1964468640 is about 44322.3266537306. The cubic root of 1964468640 is about 1252.4153065628.

The spelling of 1964468640 in words is "one billion, nine hundred sixty-four million, four hundred sixty-eight thousand, six hundred forty".